WASHINGTON—The Trump administration sought to establish processes to reunify families separated under its controversial “zero tolerance” policy on illegal immigration, though the weekend moves did little to allay confusion over how roughly 2,000 children spread across the country would be reconnected with their parents.

U.S. Immigration and Customs Enforcement officials said that a separate group of more than 500 children had been reunited with adults, as federal agencies worked to enact President Donald Trump’s executive...

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Facing mounting political pressure, President Trump signed an executive order to end the separation of families crossing the U.S. border illegally. Photo: Getty